Question

How do I find the initial value of a linear equation given the current temperature in degrees Celsius, where x equals the number of hours after noon, as 2x+10?

Answer 1

In your linear equation \( y = 2x + 10 \), \( y \) represents the temperature in degrees Celsius, and \( x \) represents the number of hours after noon.

To find the initial value of the temperature (the value of \( y \) when \( x = 0 \)), you simply substitute \( x = 0 \) into the equation:

\[
y = 2(0) + 10
\]

This simplifies to:

\[
y = 0 + 10 = 10
\]

Thus, the initial value of the temperature at noon (when \( x = 0 \)) is \( 10 \) degrees Celsius.